By Hamid Jafarkhani
This e-book covers the basic rules of space-time coding for instant communications over multiple-input multiple-output (MIMO) channels, and units out sensible coding tools for reaching the functionality advancements expected by way of the idea. beginning with historical past fabric on instant communications and the potential of MIMO channels, the e-book then reports layout standards for space-time codes. an in depth remedy of the speculation at the back of space-time block codes then leads directly to an in-depth dialogue of space-time trellis codes. The ebook keeps with dialogue of differential space-time modulation, BLAST and a few different space-time processing tools and the ultimate bankruptcy addresses extra themes in space-time coding. the speculation and perform sections can be utilized independently of one another. Written by way of one of many inventors of space-time block coding, this ebook is perfect for a graduate scholar accustomed to the fundamentals of electronic communications, and for engineers enforcing the idea in actual platforms.
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Additional info for Space-Time Coding: Theory and Practice
Let us deﬁne K C as the covariance of the input C. Then, the capacity is deﬁned as the maximum of the mutual information between the input and output given a power constraint P on the total transmission power of the input, that is Tr(K C ) ≤ P, where Tr(K C ) is the trace of a matrix K C . The explicit constraint, based on the parameters in our notation, depends on the corresponding normalization. 7), the constraint is Tr(K C ) ≤ N . This is due to the fact that in this case the total transmission power of the input is N .
1): r = C · H + N, where N is the T × M noise matrix deﬁned by ⎞ ⎛ η1,1 η1,2 · · · η1,M ⎜ η2,1 η2,2 · · · η2,M ⎟ ⎟ ⎜ N =⎜ . ⎟ . . . ⎝ . . ⎠ . 6) Different path gains may be independent from each other, that is αn,m is independent from αn ,m for n = n or m = m . Note that the independence assumption is in the spatial domain and not necessarily in the time domain. Also, if the antennas are not far enough from each other, it is possible that some spatial correlation exists among the path gains.
2 3 4 5 6 7 Number of receive antennas 8 9 10 Comparing the gain of different combining methods. RF chain Maximum Fading signals ratio RF chain combiner Select Fig. 9. Block diagram of hybrid selection/maximum ratio combining. 33) j=1 where γ j is the SNR of the jth selected signal . The average SNR at the output of the hybrid selection/maximal ratio combiner, γ , is M γ = AJ 1 + 1 . 8, we also show the SNR gain for a hybrid selection/maximal ratio combiner with J = 2 RF chains. As depicted in the ﬁgure, using more RF chains results in a higher gain.